What is the Greatest Common Factor of 58608 and 58618?

Greatest common factor (GCF) of 58608 and 58618 is 2.

GCF(58608,58618) = 2

We will now calculate the prime factors of 58608 and 58618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58608 and 58618.

How to find the GCF of 58608 and 58618?

We will first find the prime factorization of 58608 and 58618. After we will calculate the factors of 58608 and 58618 and find the biggest common factor number .

Step-1: Prime Factorization of 58608

Prime factors of 58608 are 2, 3, 11, 37. Prime factorization of 58608 in exponential form is:

58608 = 2⁴ × 3² × 11¹ × 37¹

Step-2: Prime Factorization of 58618

Prime factors of 58618 are 2, 7, 53, 79. Prime factorization of 58618 in exponential form is:

58618 = 2¹ × 7¹ × 53¹ × 79¹

Step-3: Factors of 58608

List of positive integer factors of 58608 that divides 58608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 37, 44, 48, 66, 72, 74, 88, 99, 111, 132, 144, 148, 176, 198, 222, 264, 296, 333, 396, 407, 444, 528, 592, 666, 792, 814, 888, 1221, 1332, 1584, 1628, 1776, 2442, 2664, 3256, 3663, 4884, 5328, 6512, 7326, 9768, 14652, 19536, 29304

Step-4: Factors of 58618

List of positive integer factors of 58618 that divides 58608 without a remainder.

1, 2, 7, 14, 53, 79, 106, 158, 371, 553, 742, 1106, 4187, 8374, 29309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58608 and 58618. The biggest common factor number is the GCF number.
So the greatest common factor 58608 and 58618 is 2.

Also check out the Least Common Multiple of 58608 and 58618